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Finding the Third Proportional to 155,978.50 and 172,381

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Solution

The third proportional to 155,978.50 and 172,381 is: 190,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,978.50 : 172,381 = 172,381 : x
  2. Step 2: Convert to fraction form
    155,978.50/172,381 = 172,381/x
  3. Step 3: Cross multiply
    155,978.50x = 172,381 × 172,381
  4. Step 4: Simplify right side
    155,978.50x = 29,715,209,161
  5. Step 5: Solve for x
    x = 29,715,209,161/155,978.50
  6. Step 6: Final answer
    x = 190,508.37

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.